Home / 2,319.16-3,478.96-759.10

Finding the Fourth Proportional to 2,319.16, 3,478.96 and 759.10

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Solution

The fourth proportional to 2,319.16, 3,478.96 and 759.10 is: 1,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.16 : 3,478.96 = 759.10 : x
  2. Step 2: Convert to fraction form
    2,319.16/3,478.96 = 759.10/x
  3. Step 3: Cross multiply
    2,319.16x = 3,478.96 × 759.10
  4. Step 4: Simplify right side
    2,319.16x = 2,640,878.54
  5. Step 5: Solve for x
    x = 2,640,878.54/2,319.16
  6. Step 6: Final answer
    x = 1,138.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.